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Simplifying 7 + 18z + -1 = 9z + 71 + -4z Reorder the terms: 7 + -1 + 18z = 9z + 71 + -4z Combine like terms: 7 + -1 = 6 6 + 18z = 9z + 71 + -4z Reorder the terms: 6 + 18z = 71 + 9z + -4z Combine like terms: 9z + -4z = 5z 6 + 18z = 71 + 5z Solving 6 + 18z = 71 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 18z + -5z = 71 + 5z + -5z Combine like terms: 18z + -5z = 13z 6 + 13z = 71 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + 13z = 71 + 0 6 + 13z = 71 Add '-6' to each side of the equation. 6 + -6 + 13z = 71 + -6 Combine like terms: 6 + -6 = 0 0 + 13z = 71 + -6 13z = 71 + -6 Combine like terms: 71 + -6 = 65 13z = 65 Divide each side by '13'. z = 5 Simplifying z = 5
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